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Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
Biswabibek Bandyopadhyay1, Taniya Khatun1, Tanmoy Banerjee1
1Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Physical Review. E
|September 16, 2021
Summary
Researchers discovered the quantum analog of the Turing bifurcation in coupled quantum oscillators. This finding demonstrates a transition from homogeneous to inhomogeneous steady states in quantum systems.
Area of Science:
- Quantum physics
- Nonlinear dynamics
- Quantum optics
Background:
- The Turing bifurcation describes transitions from homogeneous to inhomogeneous states in classical systems.
- Observing quantum analogs of such bifurcations is crucial for understanding quantum dynamics.
Purpose of the Study:
- To discover and demonstrate the quantum analog of the Turing bifurcation.
- To investigate the transition from homogeneous to inhomogeneous steady states in coupled quantum oscillators.
Main Methods:
- Direct simulation of the quantum master equation in Lindblad form.
- Analytical treatment of a noisy classical model for support.
Main Results:
- Successfully demonstrated the quantum analog of the Turing bifurcation.
- Showcased the transformation of homogeneous to inhomogeneous steady states in coupled quantum van der Pol oscillators.
Conclusions:
- The study establishes the Turing bifurcation in the quantum domain.
- This work bridges the quantum-classical interface for Turing bifurcations, enabling broader understanding.
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